56253814200 has 96 divisors (see below), whose sum is σ = 193763156400. Its totient is φ = 15001015680.

The previous prime is 56253814081. The next prime is 56253814223. The reversal of 56253814200 is 241835265.

56253814200 is a `hidden beast` number, since 5 + 625 + 3 + 8 + 1 + 4 + 20 + 0 = 666.

It is a super-2 number, since 2×56253814200² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5203287 + ... + 5214086.

Almost surely, 2^56253814200 is an apocalyptic number.

56253814200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56253814200 is an abundant number, since it is smaller than the sum of its proper divisors (137509342200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56253814200 is a wasteful number, since it uses less digits than its factorization.

56253814200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417398 (or 10417383 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 56253814200 in words is "fifty-six billion, two hundred fifty-three million, eight hundred fourteen thousand, two hundred".